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Finding the Fourth Proportional to 9,281.96, 12,809.04 and 5,090.12

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Solution

The fourth proportional to 9,281.96, 12,809.04 and 5,090.12 is: 7,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.96 : 12,809.04 = 5,090.12 : x
  2. Step 2: Convert to fraction form
    9,281.96/12,809.04 = 5,090.12/x
  3. Step 3: Cross multiply
    9,281.96x = 12,809.04 × 5,090.12
  4. Step 4: Simplify right side
    9,281.96x = 65,199,550.68
  5. Step 5: Solve for x
    x = 65,199,550.68/9,281.96
  6. Step 6: Final answer
    x = 7,024.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.